iphone 5 can't find or connect to wifi

I have a used iphone 5 that can not find wifi at home, but it (ocassionally) finds wifi and connects fine in public. At home it doesn't even bring up our network or find the neighbors. I know our wifi is working fine because we have several other devices on it already... unfortunately, none of them are Apple, so I'm not sure what the problem could be unless it's an Apple problem. I talked to the previous owner who said he had little or no issues with the wifi and suggested resetting the nework settings. I've tried that, power cycled the phone and entered the network information in my phone a zillion times now but the most it's done is continually load the nework and never actually connect to wifi at home.

Data of course works, but the weird thing is that the phone has connected to free wifi around town occasionally and been fine finding other networks, just not ours or the neighbors.